KILLED proof of input_7oefImty0y.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (6) CdtProblem (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxRelTRS (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (12) typed CpxTrs (13) OrderProof [LOWER BOUND(ID), 8 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 505 ms] (16) BEST (17) proven lower bound (18) LowerBoundPropagationProof [FINISHED, 0 ms] (19) BOUNDS(n^1, INF) (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 256 ms] (22) BOUNDS(1, INF) (23) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (24) CdtProblem (25) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms] (26) CdtProblem (27) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CpxTRS (29) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (30) CpxTRS (31) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CpxWeightedTrs (33) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CpxTypedWeightedTrs (35) CompletionProof [UPPER BOUND(ID), 0 ms] (36) CpxTypedWeightedCompleteTrs (37) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CpxTypedWeightedCompleteTrs (39) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CpxRNTS (43) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 2634 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 1125 ms] (50) CpxRNTS (51) CompletionProof [UPPER BOUND(ID), 0 ms] (52) CpxTypedWeightedCompleteTrs (53) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (54) CpxRNTS (55) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CdtProblem (57) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 5 ms] (76) CdtProblem (77) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 2 ms] (90) CdtProblem (91) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 38 ms] (96) CdtProblem (97) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 5 ms] (100) CdtProblem (101) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 52 ms] (104) CdtProblem (105) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 89 ms] (106) CdtProblem (107) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 114 ms] (108) CdtProblem (109) CdtInstantiationProof [BOTH BOUNDS(ID, ID), 22 ms] (110) CdtProblem (111) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 137 ms] (112) CdtProblem (113) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 125 ms] (114) CdtProblem (115) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 228 ms] (116) CdtProblem (117) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 23 ms] (118) CdtProblem (119) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 56 ms] (120) CdtProblem (121) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 52 ms] (122) CdtProblem (123) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 52 ms] (124) CdtProblem (125) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 13 ms] (126) CdtProblem (127) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 60 ms] (128) CdtProblem (129) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 55 ms] (130) CdtProblem (131) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 117 ms] (132) CdtProblem (133) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 45 ms] (134) CdtProblem (135) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 39 ms] (136) CdtProblem (137) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 13 ms] (138) CdtProblem (139) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 13 ms] (140) CdtProblem (141) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 4 ms] (142) CdtProblem (143) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 24 ms] (146) CdtProblem (147) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 53 ms] (148) CdtProblem (149) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 14 ms] (150) CdtProblem (151) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 50 ms] (152) CdtProblem (153) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 51 ms] (154) CdtProblem (155) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (156) CpxWeightedTrs (157) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CpxTypedWeightedTrs (159) CompletionProof [UPPER BOUND(ID), 0 ms] (160) CpxTypedWeightedCompleteTrs (161) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CpxTypedWeightedCompleteTrs (163) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (164) CpxRNTS (165) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CpxRNTS (167) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (168) CpxRNTS (169) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (170) CpxRNTS (171) IntTrsBoundProof [UPPER BOUND(ID), 2436 ms] (172) CpxRNTS (173) IntTrsBoundProof [UPPER BOUND(ID), 1007 ms] (174) CpxRNTS (175) CompletionProof [UPPER BOUND(ID), 0 ms] (176) CpxTypedWeightedCompleteTrs (177) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (178) CpxRNTS ---------------------------------------- (0) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) f(c(x), y) -> f(x, a(y)) f(d(x), y) -> f(x, b(y)) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) f(c(x), y) -> f(x, a(y)) f(d(x), y) -> f(x, b(y)) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (3) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (4) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) f(c(x), y) -> f(x, a(y)) f(d(x), y) -> f(x, b(y)) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (5) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (6) Obligation: Complexity Dependency Tuples Problem Rules: f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) K tuples:none Defined Rule Symbols: f_2 Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (7) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) The (relative) TRS S consists of the following rules: f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Rewrite Strategy: INNERMOST ---------------------------------------- (9) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (10) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) The (relative) TRS S consists of the following rules: f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Rewrite Strategy: INNERMOST ---------------------------------------- (11) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (12) Obligation: Innermost TRS: Rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Types: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 f :: d:c -> b:a -> f hole_c1:c2:c31_4 :: c1:c2:c3 hole_d:c2_4 :: d:c hole_b:a3_4 :: b:a hole_f4_4 :: f gen_c1:c2:c35_4 :: Nat -> c1:c2:c3 gen_d:c6_4 :: Nat -> d:c gen_b:a7_4 :: Nat -> b:a ---------------------------------------- (13) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: F, f ---------------------------------------- (14) Obligation: Innermost TRS: Rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Types: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 f :: d:c -> b:a -> f hole_c1:c2:c31_4 :: c1:c2:c3 hole_d:c2_4 :: d:c hole_b:a3_4 :: b:a hole_f4_4 :: f gen_c1:c2:c35_4 :: Nat -> c1:c2:c3 gen_d:c6_4 :: Nat -> d:c gen_b:a7_4 :: Nat -> b:a Generator Equations: gen_c1:c2:c35_4(0) <=> hole_c1:c2:c31_4 gen_c1:c2:c35_4(+(x, 1)) <=> c1(gen_c1:c2:c35_4(x)) gen_d:c6_4(0) <=> hole_d:c2_4 gen_d:c6_4(+(x, 1)) <=> c(gen_d:c6_4(x)) gen_b:a7_4(0) <=> hole_b:a3_4 gen_b:a7_4(+(x, 1)) <=> a(gen_b:a7_4(x)) The following defined symbols remain to be analysed: F, f ---------------------------------------- (15) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: F(gen_d:c6_4(+(1, n9_4)), gen_b:a7_4(b)) -> *8_4, rt in Omega(n9_4) Induction Base: F(gen_d:c6_4(+(1, 0)), gen_b:a7_4(b)) Induction Step: F(gen_d:c6_4(+(1, +(n9_4, 1))), gen_b:a7_4(b)) ->_R^Omega(1) c2(F(gen_d:c6_4(+(1, n9_4)), a(gen_b:a7_4(b)))) ->_IH c2(*8_4) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (16) Complex Obligation (BEST) ---------------------------------------- (17) Obligation: Proved the lower bound n^1 for the following obligation: Innermost TRS: Rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Types: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 f :: d:c -> b:a -> f hole_c1:c2:c31_4 :: c1:c2:c3 hole_d:c2_4 :: d:c hole_b:a3_4 :: b:a hole_f4_4 :: f gen_c1:c2:c35_4 :: Nat -> c1:c2:c3 gen_d:c6_4 :: Nat -> d:c gen_b:a7_4 :: Nat -> b:a Generator Equations: gen_c1:c2:c35_4(0) <=> hole_c1:c2:c31_4 gen_c1:c2:c35_4(+(x, 1)) <=> c1(gen_c1:c2:c35_4(x)) gen_d:c6_4(0) <=> hole_d:c2_4 gen_d:c6_4(+(x, 1)) <=> c(gen_d:c6_4(x)) gen_b:a7_4(0) <=> hole_b:a3_4 gen_b:a7_4(+(x, 1)) <=> a(gen_b:a7_4(x)) The following defined symbols remain to be analysed: F, f ---------------------------------------- (18) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (19) BOUNDS(n^1, INF) ---------------------------------------- (20) Obligation: Innermost TRS: Rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Types: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 f :: d:c -> b:a -> f hole_c1:c2:c31_4 :: c1:c2:c3 hole_d:c2_4 :: d:c hole_b:a3_4 :: b:a hole_f4_4 :: f gen_c1:c2:c35_4 :: Nat -> c1:c2:c3 gen_d:c6_4 :: Nat -> d:c gen_b:a7_4 :: Nat -> b:a Lemmas: F(gen_d:c6_4(+(1, n9_4)), gen_b:a7_4(b)) -> *8_4, rt in Omega(n9_4) Generator Equations: gen_c1:c2:c35_4(0) <=> hole_c1:c2:c31_4 gen_c1:c2:c35_4(+(x, 1)) <=> c1(gen_c1:c2:c35_4(x)) gen_d:c6_4(0) <=> hole_d:c2_4 gen_d:c6_4(+(x, 1)) <=> c(gen_d:c6_4(x)) gen_b:a7_4(0) <=> hole_b:a3_4 gen_b:a7_4(+(x, 1)) <=> a(gen_b:a7_4(x)) The following defined symbols remain to be analysed: f ---------------------------------------- (21) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: f(gen_d:c6_4(+(1, n828_4)), gen_b:a7_4(b)) -> *8_4, rt in Omega(0) Induction Base: f(gen_d:c6_4(+(1, 0)), gen_b:a7_4(b)) Induction Step: f(gen_d:c6_4(+(1, +(n828_4, 1))), gen_b:a7_4(b)) ->_R^Omega(0) f(gen_d:c6_4(+(1, n828_4)), a(gen_b:a7_4(b))) ->_IH *8_4 We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (22) BOUNDS(1, INF) ---------------------------------------- (23) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (24) Obligation: Complexity Dependency Tuples Problem Rules: f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) K tuples:none Defined Rule Symbols: f_2 Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (25) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: f(z0, a(b(z1))) -> f(c(d(z0)), z1) f(c(z0), z1) -> f(z0, a(z1)) f(d(z0), z1) -> f(z0, b(z1)) ---------------------------------------- (26) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (27) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (28) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (29) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (30) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(z0), z1) -> c2(F(z0, a(z1))) F(d(z0), z1) -> c3(F(z0, b(z1))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (31) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (32) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) [1] F(c(z0), z1) -> c2(F(z0, a(z1))) [1] F(d(z0), z1) -> c3(F(z0, b(z1))) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (33) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (34) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) [1] F(c(z0), z1) -> c2(F(z0, a(z1))) [1] F(d(z0), z1) -> c3(F(z0, b(z1))) [1] The TRS has the following type information: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 Rewrite Strategy: INNERMOST ---------------------------------------- (35) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: F_2 (c) The following functions are completely defined: none Due to the following rules being added: none And the following fresh constants: const, const1, const2 ---------------------------------------- (36) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) [1] F(c(z0), z1) -> c2(F(z0, a(z1))) [1] F(d(z0), z1) -> c3(F(z0, b(z1))) [1] The TRS has the following type information: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 const :: c1:c2:c3 const1 :: d:c const2 :: b:a Rewrite Strategy: INNERMOST ---------------------------------------- (37) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (38) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) [1] F(c(z0), z1) -> c2(F(z0, a(z1))) [1] F(d(z0), z1) -> c3(F(z0, b(z1))) [1] The TRS has the following type information: F :: d:c -> b:a -> c1:c2:c3 a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3 -> c1:c2:c3 c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3 -> c1:c2:c3 c3 :: c1:c2:c3 -> c1:c2:c3 const :: c1:c2:c3 const1 :: d:c const2 :: b:a Rewrite Strategy: INNERMOST ---------------------------------------- (39) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: const => 0 const1 => 0 const2 => 0 ---------------------------------------- (40) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 1 }-> 1 + F(z0, 1 + z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z0), z1) :|: z' = 1 + (1 + z1), z = z0, z1 >= 0, z0 >= 0 ---------------------------------------- (41) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (42) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 1 }-> 1 + F(z - 1, 1 + z') :|: z' >= 0, z - 1 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z), z' - 2) :|: z' - 2 >= 0, z >= 0 ---------------------------------------- (43) CpxRntsAnalysisOrderProof (BOTH BOUNDS(ID, ID)) Found the following analysis order by SCC decomposition: { F } ---------------------------------------- (44) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 1 }-> 1 + F(z - 1, 1 + z') :|: z' >= 0, z - 1 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z), z' - 2) :|: z' - 2 >= 0, z >= 0 Function symbols to be analyzed: {F} ---------------------------------------- (45) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (46) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 1 }-> 1 + F(z - 1, 1 + z') :|: z' >= 0, z - 1 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z), z' - 2) :|: z' - 2 >= 0, z >= 0 Function symbols to be analyzed: {F} ---------------------------------------- (47) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using CoFloCo for: F after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 0 ---------------------------------------- (48) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 1 }-> 1 + F(z - 1, 1 + z') :|: z' >= 0, z - 1 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z), z' - 2) :|: z' - 2 >= 0, z >= 0 Function symbols to be analyzed: {F} Previous analysis results are: F: runtime: ?, size: O(1) [0] ---------------------------------------- (49) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: F after applying outer abstraction to obtain an ITS, resulting in: INF with polynomial bound: ? ---------------------------------------- (50) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 1 }-> 1 + F(z - 1, 1 + z') :|: z' >= 0, z - 1 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z), z' - 2) :|: z' - 2 >= 0, z >= 0 Function symbols to be analyzed: {F} Previous analysis results are: F: runtime: INF, size: O(1) [0] ---------------------------------------- (51) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: F(v0, v1) -> null_F [0] And the following fresh constants: null_F, const, const1 ---------------------------------------- (52) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) [1] F(c(z0), z1) -> c2(F(z0, a(z1))) [1] F(d(z0), z1) -> c3(F(z0, b(z1))) [1] F(v0, v1) -> null_F [0] The TRS has the following type information: F :: d:c -> b:a -> c1:c2:c3:null_F a :: b:a -> b:a b :: b:a -> b:a c1 :: c1:c2:c3:null_F -> c1:c2:c3:null_F c :: d:c -> d:c d :: d:c -> d:c c2 :: c1:c2:c3:null_F -> c1:c2:c3:null_F c3 :: c1:c2:c3:null_F -> c1:c2:c3:null_F null_F :: c1:c2:c3:null_F const :: d:c const1 :: b:a Rewrite Strategy: INNERMOST ---------------------------------------- (53) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: null_F => 0 const => 0 const1 => 0 ---------------------------------------- (54) Obligation: Complexity RNTS consisting of the following rules: F(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 F(z, z') -{ 1 }-> 1 + F(z0, 1 + z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 F(z, z') -{ 1 }-> 1 + F(1 + (1 + z0), z1) :|: z' = 1 + (1 + z1), z = z0, z1 >= 0, z0 >= 0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (55) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(c(z0), z1) -> c2(F(z0, a(z1))) by F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), a(x1)) -> c2(F(z0, a(a(x1)))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(d(z0), z1) -> c3(F(z0, b(z1))) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), a(x1)) -> c2(F(z0, a(a(x1)))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(d(z0), z1) -> c3(F(z0, b(z1))) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), a(x1)) -> c2(F(z0, a(a(x1)))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c3_1, c2_1 ---------------------------------------- (57) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(z0), z1) -> c3(F(z0, b(z1))) by F(d(d(y0)), z1) -> c3(F(d(y0), b(z1))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), a(x1)) -> c2(F(z0, a(a(x1)))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(d(y0)), z1) -> c3(F(d(y0), b(z1))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), a(x1)) -> c2(F(z0, a(a(x1)))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(d(y0)), z1) -> c3(F(d(y0), b(z1))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (59) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(c(z0), a(x1)) -> c2(F(z0, a(a(x1)))) by F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(d(y0)), z1) -> c3(F(d(y0), b(z1))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(d(y0)), z1) -> c3(F(d(y0), b(z1))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (61) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(d(y0)), z1) -> c3(F(d(y0), b(z1))) by F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (63) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(c(d(y0))), z1) -> c3(F(c(d(y0)), b(z1))) by F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (65) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(c(y0)), z1) -> c3(F(c(y0), b(z1))) by F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (67) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(c(z0), b(x1)) -> c2(F(z0, a(b(x1)))) by F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (69) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(x0)), x1) -> c2(F(d(x0), a(x1))) by F(c(d(z0)), b(y1)) -> c2(F(d(z0), a(b(y1)))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) S tuples: F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c1_1, c2_1, c3_1 ---------------------------------------- (71) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(z0, a(b(z1))) -> c1(F(c(d(z0)), z1)) by F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) S tuples: F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c2_1, c3_1, c1_1 ---------------------------------------- (73) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(x0)), a(z1)) -> c2(F(d(x0), a(a(z1)))) by F(c(d(d(y0))), a(z1)) -> c2(F(d(d(y0)), a(a(z1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), a(z1)) -> c2(F(d(c(d(y0))), a(a(z1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), a(z1)) -> c2(F(d(c(y0)), a(a(z1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) S tuples: F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c2_1, c3_1, c1_1 ---------------------------------------- (75) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(z0), a(a(x1))) -> c2(F(z0, a(a(a(x1))))) by F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(d(d(y0))), a(a(z1))) -> c2(F(d(d(y0)), a(a(a(z1))))) F(c(d(c(d(y0)))), a(a(z1))) -> c2(F(d(c(d(y0))), a(a(a(z1))))) F(c(d(c(y0))), a(a(z1))) -> c2(F(d(c(y0)), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) S tuples: F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c2_1, c3_1, c1_1 ---------------------------------------- (77) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(z0), a(b(x1))) -> c2(F(z0, a(a(b(x1))))) by F(c(d(d(y0))), a(b(z1))) -> c2(F(d(d(y0)), a(a(b(z1))))) F(c(d(c(d(y0)))), a(b(z1))) -> c2(F(d(c(d(y0))), a(a(b(z1))))) F(c(d(c(y0))), a(b(z1))) -> c2(F(d(c(y0)), a(a(b(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) S tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (79) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(d(z0)), b(x1)) -> c3(F(d(z0), b(b(x1)))) by F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) S tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (81) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(c(d(z0))), b(b(x1))) -> c3(F(c(d(z0)), b(b(b(x1))))) by F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) S tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (83) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(c(z0)), b(b(x1))) -> c3(F(c(z0), b(b(b(x1))))) by F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) S tuples: F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (85) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(d(z0)), a(x1)) -> c3(F(d(z0), b(a(x1)))) by F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) S tuples: F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (87) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(d(z0)), a(b(x1))) -> c3(F(d(z0), b(a(b(x1))))) by F(d(d(c(d(y0)))), a(b(z1))) -> c3(F(d(c(d(y0))), b(a(b(z1))))) F(d(d(c(y0))), a(b(z1))) -> c3(F(d(c(y0)), b(a(b(z1))))) F(d(d(d(y0))), a(b(z1))) -> c3(F(d(d(y0)), b(a(b(z1))))) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) S tuples: F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (89) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(d(z0)), a(a(x1))) -> c3(F(d(z0), b(a(a(x1))))) by F(d(d(c(d(y0)))), a(a(z1))) -> c3(F(d(c(d(y0))), b(a(a(z1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(a(z1))) -> c3(F(d(c(y0)), b(a(a(z1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(a(z1))) -> c3(F(d(d(y0)), b(a(a(z1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) S tuples: F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (91) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(d(z0)), a(a(a(x1)))) -> c3(F(d(z0), b(a(a(a(x1)))))) by F(d(d(c(d(y0)))), a(a(a(z1)))) -> c3(F(d(c(d(y0))), b(a(a(a(z1)))))) F(d(d(c(y0))), a(a(a(z1)))) -> c3(F(d(c(y0)), b(a(a(a(z1)))))) F(d(d(d(y0))), a(a(a(z1)))) -> c3(F(d(d(y0)), b(a(a(a(z1)))))) ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) S tuples: F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (93) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(d(z0)), a(a(b(x1)))) -> c3(F(d(z0), b(a(a(b(x1)))))) by F(d(d(c(d(y0)))), a(a(b(z1)))) -> c3(F(d(c(d(y0))), b(a(a(b(z1)))))) F(d(d(c(y0))), a(a(b(z1)))) -> c3(F(d(c(y0)), b(a(a(b(z1)))))) F(d(d(d(y0))), a(a(b(z1)))) -> c3(F(d(d(y0)), b(a(a(b(z1)))))) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (95) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), z1) -> c2(F(d(d(y0)), a(z1))) by F(c(d(d(z0))), b(y1)) -> c2(F(d(d(z0)), a(b(y1)))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (97) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) by F(c(d(d(c(d(y0))))), a(z1)) -> c2(F(d(d(c(d(y0)))), a(a(z1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), a(z1)) -> c2(F(d(d(c(y0))), a(a(z1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), a(z1)) -> c2(F(d(d(d(y0))), a(a(z1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (99) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) by F(c(d(d(c(d(y0))))), a(a(z1))) -> c2(F(d(d(c(d(y0)))), a(a(a(z1))))) F(c(d(d(c(y0)))), a(a(z1))) -> c2(F(d(d(c(y0))), a(a(a(z1))))) F(c(d(d(d(y0)))), a(a(z1))) -> c2(F(d(d(d(y0))), a(a(a(z1))))) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (101) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) by F(c(d(d(c(d(y0))))), a(b(z1))) -> c2(F(d(d(c(d(y0)))), a(a(b(z1))))) F(c(d(d(c(y0)))), a(b(z1))) -> c2(F(d(d(c(y0))), a(a(b(z1))))) F(c(d(d(d(y0)))), a(b(z1))) -> c2(F(d(d(d(y0))), a(a(b(z1))))) ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (103) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(c(d(z0)), b(y1)) -> c2(F(d(z0), a(b(y1)))) by F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(d(c(d(x0)))), b(z1)) -> c2(F(d(c(d(x0))), a(b(z1)))) F(c(d(d(x0))), b(z1)) -> c2(F(d(d(x0)), a(b(z1)))) F(c(d(d(x0))), b(a(x1))) -> c2(F(d(d(x0)), a(b(a(x1))))) F(c(d(d(x0))), b(a(b(x1)))) -> c2(F(d(d(x0)), a(b(a(b(x1)))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(d(x0))), b(a(a(x1)))) -> c2(F(d(d(x0)), a(b(a(a(x1)))))) F(c(d(d(x0))), b(a(a(a(x1))))) -> c2(F(d(d(x0)), a(b(a(a(a(x1))))))) F(c(d(d(x0))), b(a(a(b(x1))))) -> c2(F(d(d(x0)), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(d(d(x0)))), b(z1)) -> c2(F(d(d(d(x0))), a(b(z1)))) F(c(d(d(c(d(x0))))), b(z1)) -> c2(F(d(d(c(d(x0)))), a(b(z1)))) F(c(d(d(c(x0)))), b(z1)) -> c2(F(d(d(c(x0))), a(b(z1)))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (105) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(c(d(c(y0))), z1) -> c2(F(d(c(y0)), a(z1))) by F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(d(x0)))), x1) -> c2(F(d(c(d(x0))), a(x1))) F(c(d(c(z0))), a(x1)) -> c2(F(d(c(z0)), a(a(x1)))) F(c(d(c(z0))), a(b(x1))) -> c2(F(d(c(z0)), a(a(b(x1))))) F(c(d(c(z0))), a(a(x1))) -> c2(F(d(c(z0)), a(a(a(x1))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (107) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(x0), a(b(x1))) -> c1(F(c(d(d(x0))), x1)) by F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(a(y1))))) -> c1(F(c(d(d(z0))), b(a(y1)))) F(d(z0), a(b(b(a(b(y1)))))) -> c1(F(c(d(d(z0))), b(a(b(y1))))) F(d(z0), a(b(b(a(a(y1)))))) -> c1(F(c(d(d(z0))), b(a(a(y1))))) F(d(z0), a(b(b(a(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(a(a(a(y1)))))) F(d(z0), a(b(b(a(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(a(a(b(y1)))))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(y1))))) -> c1(F(c(d(d(z0))), a(b(y1)))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(z0), a(b(a(y1)))) -> c1(F(c(d(d(z0))), a(y1))) F(d(z0), a(b(a(a(y1))))) -> c1(F(c(d(d(z0))), a(a(y1)))) F(d(c(d(y0))), a(b(z1))) -> c1(F(c(d(d(c(d(y0))))), z1)) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(z1))) -> c1(F(c(d(d(c(y0)))), z1)) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(z1))) -> c1(F(c(d(d(d(y0)))), z1)) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(y1))))) -> c1(F(c(d(d(z0))), b(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (109) CdtInstantiationProof (BOTH BOUNDS(ID, ID)) Use instantiation to replace F(d(c(z0)), a(x1)) -> c3(F(c(z0), b(a(x1)))) by F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(d(x0))), a(x1)) -> c3(F(c(d(x0)), b(a(x1)))) F(d(c(d(x0))), a(b(x1))) -> c3(F(c(d(x0)), b(a(b(x1))))) F(d(c(d(x0))), a(a(x1))) -> c3(F(c(d(x0)), b(a(a(x1))))) F(d(c(d(x0))), a(a(a(x1)))) -> c3(F(c(d(x0)), b(a(a(a(x1)))))) F(d(c(d(x0))), a(a(b(x1)))) -> c3(F(c(d(x0)), b(a(a(b(x1)))))) F(d(c(x0)), a(a(x1))) -> c3(F(c(x0), b(a(a(x1))))) F(d(c(x0)), a(a(a(x1)))) -> c3(F(c(x0), b(a(a(a(x1)))))) F(d(c(x0)), a(a(b(x1)))) -> c3(F(c(x0), b(a(a(b(x1)))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (111) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(x0)), b(z1)) -> c2(F(d(x0), a(b(z1)))) by F(c(d(c(d(y0)))), b(z1)) -> c2(F(d(c(d(y0))), a(b(z1)))) F(c(d(c(y0))), b(z1)) -> c2(F(d(c(y0)), a(b(z1)))) F(c(d(z0)), b(a(y1))) -> c2(F(d(z0), a(b(a(y1))))) F(c(d(z0)), b(a(b(y1)))) -> c2(F(d(z0), a(b(a(b(y1)))))) F(c(d(z0)), b(a(a(y1)))) -> c2(F(d(z0), a(b(a(a(y1)))))) F(c(d(z0)), b(a(a(a(y1))))) -> c2(F(d(z0), a(b(a(a(a(y1))))))) F(c(d(z0)), b(a(a(b(y1))))) -> c2(F(d(z0), a(b(a(a(b(y1))))))) F(c(d(z0)), b(b(a(y1)))) -> c2(F(d(z0), a(b(b(a(y1)))))) F(c(d(z0)), b(b(a(b(y1))))) -> c2(F(d(z0), a(b(b(a(b(y1))))))) F(c(d(z0)), b(b(b(y1)))) -> c2(F(d(z0), a(b(b(b(y1)))))) F(c(d(z0)), b(b(a(a(y1))))) -> c2(F(d(z0), a(b(b(a(a(y1))))))) F(c(d(z0)), b(b(a(a(a(y1)))))) -> c2(F(d(z0), a(b(b(a(a(a(y1)))))))) F(c(d(z0)), b(b(a(a(b(y1)))))) -> c2(F(d(z0), a(b(b(a(a(b(y1)))))))) F(c(d(d(y0))), b(z1)) -> c2(F(d(d(y0)), a(b(z1)))) F(c(d(d(c(d(y0))))), b(z1)) -> c2(F(d(d(c(d(y0)))), a(b(z1)))) F(c(d(d(c(y0)))), b(z1)) -> c2(F(d(d(c(y0))), a(b(z1)))) F(c(d(d(d(y0)))), b(z1)) -> c2(F(d(d(d(y0))), a(b(z1)))) F(c(d(z0)), b(b(y1))) -> c2(F(d(z0), a(b(b(y1))))) F(c(d(z0)), b(b(b(a(y1))))) -> c2(F(d(z0), a(b(b(b(a(y1))))))) F(c(d(z0)), b(b(b(a(b(y1)))))) -> c2(F(d(z0), a(b(b(b(a(b(y1)))))))) F(c(d(z0)), b(b(b(b(y1))))) -> c2(F(d(z0), a(b(b(b(b(y1))))))) F(c(d(z0)), b(b(b(a(a(y1)))))) -> c2(F(d(z0), a(b(b(b(a(a(y1)))))))) F(c(d(z0)), b(b(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(a(a(a(y1))))))))) F(c(d(z0)), b(b(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(c(y0))), b(b(y1))) -> c2(F(d(c(y0)), a(b(b(y1))))) F(c(d(c(y0))), b(a(y1))) -> c2(F(d(c(y0)), a(b(a(y1))))) F(c(d(c(y0))), b(a(a(y1)))) -> c2(F(d(c(y0)), a(b(a(a(y1)))))) F(c(d(c(y0))), b(a(b(y1)))) -> c2(F(d(c(y0)), a(b(a(b(y1)))))) F(c(d(d(y0))), b(b(y1))) -> c2(F(d(d(y0)), a(b(b(y1))))) F(c(d(d(y0))), b(a(y1))) -> c2(F(d(d(y0)), a(b(a(y1))))) F(c(d(d(y0))), b(a(a(y1)))) -> c2(F(d(d(y0)), a(b(a(a(y1)))))) F(c(d(d(y0))), b(a(b(y1)))) -> c2(F(d(d(y0)), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(a(a(a(y1))))) -> c2(F(d(c(y0)), a(b(a(a(a(y1))))))) F(c(d(c(y0))), b(a(a(b(y1))))) -> c2(F(d(c(y0)), a(b(a(a(b(y1))))))) F(c(d(c(y0))), b(b(a(y1)))) -> c2(F(d(c(y0)), a(b(b(a(y1)))))) F(c(d(c(y0))), b(b(a(b(y1))))) -> c2(F(d(c(y0)), a(b(b(a(b(y1))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(c(y0))), b(b(a(a(y1))))) -> c2(F(d(c(y0)), a(b(b(a(a(y1))))))) F(c(d(c(y0))), b(b(a(a(a(y1)))))) -> c2(F(d(c(y0)), a(b(b(a(a(a(y1)))))))) F(c(d(c(y0))), b(b(a(a(b(y1)))))) -> c2(F(d(c(y0)), a(b(b(a(a(b(y1)))))))) F(c(d(c(y0))), b(b(b(a(y1))))) -> c2(F(d(c(y0)), a(b(b(b(a(y1))))))) F(c(d(c(y0))), b(b(b(a(b(y1)))))) -> c2(F(d(c(y0)), a(b(b(b(a(b(y1)))))))) F(c(d(c(y0))), b(b(b(b(y1))))) -> c2(F(d(c(y0)), a(b(b(b(b(y1))))))) F(c(d(c(y0))), b(b(b(a(a(y1)))))) -> c2(F(d(c(y0)), a(b(b(b(a(a(y1)))))))) F(c(d(c(y0))), b(b(b(a(a(a(y1))))))) -> c2(F(d(c(y0)), a(b(b(b(a(a(a(y1))))))))) F(c(d(c(y0))), b(b(b(a(a(b(y1))))))) -> c2(F(d(c(y0)), a(b(b(b(a(a(b(y1))))))))) ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (113) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(x0, a(b(a(x1)))) -> c1(F(c(d(x0)), a(x1))) by F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(y1))))) -> c1(F(c(d(z0)), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(d(y0), a(b(a(z1)))) -> c1(F(c(d(d(y0))), a(z1))) F(d(y0), a(b(a(a(y1))))) -> c1(F(c(d(d(y0))), a(a(y1)))) F(d(y0), a(b(a(b(y1))))) -> c1(F(c(d(d(y0))), a(b(y1)))) F(d(c(d(y0))), a(b(a(z1)))) -> c1(F(c(d(d(c(d(y0))))), a(z1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(a(z1)))) -> c1(F(c(d(d(c(y0)))), a(z1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(a(z1)))) -> c1(F(c(d(d(d(y0)))), a(z1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (115) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(x0), b(a(x1))) -> c2(F(x0, a(b(a(x1))))) by F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(d(c(y0))), b(a(z1))) -> c2(F(d(c(y0)), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(d(y0)), b(a(z1))) -> c2(F(d(y0), a(b(a(z1))))) F(c(d(y0)), b(a(b(y1)))) -> c2(F(d(y0), a(b(a(b(y1)))))) F(c(d(y0)), b(a(a(y1)))) -> c2(F(d(y0), a(b(a(a(y1)))))) F(c(d(y0)), b(a(a(a(y1))))) -> c2(F(d(y0), a(b(a(a(a(y1))))))) F(c(d(y0)), b(a(a(b(y1))))) -> c2(F(d(y0), a(b(a(a(b(y1))))))) F(c(z0), b(a(b(y1)))) -> c2(F(z0, a(b(a(b(y1)))))) F(c(z0), b(a(a(y1)))) -> c2(F(z0, a(b(a(a(y1)))))) F(c(z0), b(a(a(a(y1))))) -> c2(F(z0, a(b(a(a(a(y1))))))) F(c(z0), b(a(a(b(y1))))) -> c2(F(z0, a(b(a(a(b(y1))))))) F(c(d(d(y0))), b(a(z1))) -> c2(F(d(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(c(y0))), b(a(a(y1)))) -> c2(F(d(c(y0)), a(b(a(a(y1)))))) F(c(d(c(y0))), b(a(b(y1)))) -> c2(F(d(c(y0)), a(b(a(b(y1)))))) F(c(d(d(y0))), b(a(a(y1)))) -> c2(F(d(d(y0)), a(b(a(a(y1)))))) F(c(d(d(y0))), b(a(b(y1)))) -> c2(F(d(d(y0)), a(b(a(b(y1)))))) F(c(d(c(y0))), b(a(a(a(y1))))) -> c2(F(d(c(y0)), a(b(a(a(a(y1))))))) F(c(d(c(y0))), b(a(a(b(y1))))) -> c2(F(d(c(y0)), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (117) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(x0, a(b(a(a(x1))))) -> c1(F(c(d(x0)), a(a(x1)))) by F(c(d(y0)), a(b(a(a(z1))))) -> c1(F(c(d(c(d(y0)))), a(a(z1)))) F(c(y0), a(b(a(a(z1))))) -> c1(F(c(d(c(y0))), a(a(z1)))) F(d(y0), a(b(a(a(z1))))) -> c1(F(c(d(d(y0))), a(a(z1)))) F(d(c(d(y0))), a(b(a(a(z1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(z1)))) F(d(c(y0)), a(b(a(a(z1))))) -> c1(F(c(d(d(c(y0)))), a(a(z1)))) F(d(d(y0)), a(b(a(a(z1))))) -> c1(F(c(d(d(d(y0)))), a(a(z1)))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), 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a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (119) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) by F(c(d(c(d(y0)))), b(a(a(z1)))) -> c2(F(d(c(d(y0))), a(b(a(a(z1)))))) F(c(d(c(y0))), b(a(a(z1)))) -> c2(F(d(c(y0)), a(b(a(a(z1)))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(c(y0)))), b(a(a(z1)))) -> c2(F(c(d(c(y0))), a(b(a(a(z1)))))) F(c(c(d(y0))), b(a(a(z1)))) -> c2(F(c(d(y0)), a(b(a(a(z1)))))) F(c(d(y0)), b(a(a(z1)))) -> c2(F(d(y0), a(b(a(a(z1)))))) F(c(d(y0)), b(a(a(a(y1))))) -> c2(F(d(y0), a(b(a(a(a(y1))))))) F(c(d(y0)), b(a(a(b(y1))))) -> c2(F(d(y0), a(b(a(a(b(y1))))))) F(c(z0), b(a(a(a(y1))))) -> c2(F(z0, a(b(a(a(a(y1))))))) F(c(z0), b(a(a(b(y1))))) -> c2(F(z0, a(b(a(a(b(y1))))))) F(c(d(d(y0))), b(a(a(z1)))) -> c2(F(d(d(y0)), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(c(y0))), b(a(a(a(y1))))) -> c2(F(d(c(y0)), a(b(a(a(a(y1))))))) F(c(d(c(y0))), b(a(a(b(y1))))) -> c2(F(d(c(y0)), a(b(a(a(b(y1))))))) F(c(c(y0)), b(a(a(z1)))) -> c2(F(c(y0), a(b(a(a(z1)))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (121) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(x0, a(b(a(a(a(x1)))))) -> c1(F(c(d(x0)), a(a(a(x1))))) by F(c(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(y0), a(b(a(a(a(z1)))))) -> c1(F(c(d(c(y0))), a(a(a(z1))))) F(d(y0), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(y0))), a(a(a(z1))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (123) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) by F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(d(c(y0))), b(a(a(a(z1))))) -> c2(F(d(c(y0)), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(z1))))))) F(c(c(d(y0))), b(a(a(a(z1))))) -> c2(F(c(d(y0)), a(b(a(a(a(z1))))))) F(c(d(y0)), b(a(a(a(z1))))) -> c2(F(d(y0), a(b(a(a(a(z1))))))) F(c(d(d(y0))), b(a(a(a(z1))))) -> c2(F(d(d(y0)), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(y0)), b(a(a(a(z1))))) -> c2(F(c(y0), a(b(a(a(a(z1))))))) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), 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a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (125) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(x0, a(b(a(a(b(x1)))))) -> c1(F(c(d(x0)), a(a(b(x1))))) by F(c(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(y0), a(b(a(a(b(z1)))))) -> c1(F(c(d(c(y0))), a(a(b(z1))))) F(d(y0), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(y0))), a(a(b(z1))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), 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b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> 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c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (127) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) by F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(d(c(y0))), b(a(a(b(z1))))) -> c2(F(d(c(y0)), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(z1))))))) F(c(c(d(y0))), b(a(a(b(z1))))) -> c2(F(c(d(y0)), a(b(a(a(b(z1))))))) F(c(d(y0)), b(a(a(b(z1))))) -> c2(F(d(y0), a(b(a(a(b(z1))))))) F(c(d(d(y0))), b(a(a(b(z1))))) -> c2(F(d(d(y0)), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(y0)), b(a(a(b(z1))))) -> c2(F(c(y0), a(b(a(a(b(z1))))))) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(y1)) -> c2(F(d(d(y0)), a(a(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (129) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(z1)) -> c2(F(d(d(y0)), a(a(z1)))) by F(c(d(d(c(d(y0))))), a(z1)) -> c2(F(d(d(c(d(y0)))), a(a(z1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), a(z1)) -> c2(F(d(d(c(y0))), a(a(z1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), a(z1)) -> c2(F(d(d(d(y0))), a(a(z1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), 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a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> 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a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> 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a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (131) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) by F(d(z0), a(b(a(b(y1))))) -> c1(F(c(d(d(z0))), a(b(y1)))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(z0), a(b(a(a(y1))))) -> c1(F(c(d(d(z0))), a(a(y1)))) F(d(c(d(y0))), a(b(a(z1)))) -> c1(F(c(d(d(c(d(y0))))), a(z1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(a(z1)))) -> c1(F(c(d(d(c(y0)))), a(z1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(a(z1)))) -> c1(F(c(d(d(d(y0)))), a(z1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (133) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) by F(c(d(d(c(d(y0))))), a(a(z1))) -> c2(F(d(d(c(d(y0)))), a(a(a(z1))))) F(c(d(d(c(y0)))), a(a(z1))) -> c2(F(d(d(c(y0))), a(a(a(z1))))) F(c(d(d(d(y0)))), a(a(z1))) -> c2(F(d(d(d(y0))), a(a(a(z1))))) ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), 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a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) 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F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> 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a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (135) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) by F(c(d(d(c(d(y0))))), a(b(z1))) -> c2(F(d(d(c(d(y0)))), a(a(b(z1))))) F(c(d(d(c(y0)))), a(b(z1))) -> c2(F(d(d(c(y0))), a(a(b(z1))))) F(c(d(d(d(y0)))), a(b(z1))) -> c2(F(d(d(d(y0))), a(a(b(z1))))) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> 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b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (137) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(c(y0)), a(a(z1))) -> c2(F(c(y0), a(a(a(z1))))) by F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(a(y1))) -> c2(F(d(d(y0)), a(a(a(y1))))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (139) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(a(z1))) -> c2(F(d(d(y0)), a(a(a(z1))))) by F(c(d(d(c(d(y0))))), a(a(z1))) -> c2(F(d(d(c(d(y0)))), a(a(a(z1))))) F(c(d(d(c(y0)))), a(a(z1))) -> c2(F(d(d(c(y0))), a(a(a(z1))))) F(c(d(d(d(y0)))), a(a(z1))) -> c2(F(d(d(d(y0))), a(a(a(z1))))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (141) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) by F(d(c(d(y0))), a(b(a(a(z1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(z1)))) F(d(c(y0)), a(b(a(a(z1))))) -> c1(F(c(d(d(c(y0)))), a(a(z1)))) F(d(d(y0)), a(b(a(a(z1))))) -> c1(F(c(d(d(d(y0)))), a(a(z1)))) ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (143) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) by F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), 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b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> 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F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (145) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) by F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (147) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) by F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(d(y0))), a(b(y1))) -> c2(F(d(d(y0)), a(a(b(y1))))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), 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a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> 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F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (149) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(d(d(y0))), a(b(z1))) -> c2(F(d(d(y0)), a(a(b(z1))))) by F(c(d(d(c(d(y0))))), a(b(z1))) -> c2(F(d(d(c(d(y0)))), a(a(b(z1))))) F(c(d(d(c(y0)))), a(b(z1))) -> c2(F(d(d(c(y0))), a(a(b(z1))))) F(c(d(d(d(y0)))), a(b(z1))) -> c2(F(d(d(d(y0))), a(a(b(z1))))) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (151) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(c(d(d(y0)))), a(b(z1))) -> c2(F(c(d(d(y0))), a(a(b(z1))))) by F(c(c(d(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(c(c(d(d(c(y0))))), a(b(z1))) -> c2(F(c(d(d(c(y0)))), a(a(b(z1))))) F(c(c(d(d(d(y0))))), a(b(z1))) -> c2(F(c(d(d(d(y0)))), a(a(b(z1))))) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> 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a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> 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F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(c(c(d(d(c(y0))))), a(b(z1))) -> c2(F(c(d(d(c(y0)))), a(a(b(z1))))) F(c(c(d(d(d(y0))))), a(b(z1))) -> c2(F(c(d(d(d(y0)))), a(a(b(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(c(c(d(d(c(y0))))), a(b(z1))) -> c2(F(c(d(d(c(y0)))), a(a(b(z1))))) F(c(c(d(d(d(y0))))), a(b(z1))) -> c2(F(c(d(d(d(y0)))), a(a(b(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (153) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(c(c(c(y0))), a(b(z1))) -> c2(F(c(c(y0)), a(a(b(z1))))) by F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(c(c(c(c(y0)))), a(b(z1))) -> c2(F(c(c(c(y0))), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(c(d(d(y0)))))), a(b(z1))) -> c2(F(c(c(c(d(d(y0))))), a(a(b(z1))))) F(c(c(c(c(d(c(d(y0))))))), a(b(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(a(b(z1))))) F(c(c(c(c(d(c(y0)))))), a(b(z1))) -> c2(F(c(c(c(d(c(y0))))), a(a(b(z1))))) F(c(c(c(d(d(c(d(y0))))))), a(b(z1))) -> c2(F(c(c(d(d(c(d(y0)))))), a(a(b(z1))))) F(c(c(c(d(d(c(y0)))))), a(b(z1))) -> c2(F(c(c(d(d(c(y0))))), a(a(b(z1))))) F(c(c(c(d(d(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(d(d(y0))))), a(a(b(z1))))) ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(a(a(x1)))) -> c2(F(x0, a(b(a(a(x1)))))) F(c(x0), b(a(a(a(x1))))) -> c2(F(x0, a(b(a(a(a(x1))))))) F(c(x0), b(a(a(b(x1))))) -> c2(F(x0, a(b(a(a(b(x1))))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(x1)))) -> c1(F(c(d(d(x0))), a(x1))) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(a(a(x1))))) -> c1(F(c(d(d(x0))), a(a(x1)))) F(d(x0), a(b(a(a(a(x1)))))) -> c1(F(c(d(d(x0))), a(a(a(x1))))) F(d(x0), a(b(a(a(b(x1)))))) -> c1(F(c(d(d(x0))), a(a(b(x1))))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(d(y0)))), a(a(z1))) -> c2(F(c(d(d(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(z0)), b(a(b(a(y1))))) -> c2(F(d(z0), a(b(a(b(a(y1))))))) F(c(d(z0)), b(a(b(a(b(y1)))))) -> c2(F(d(z0), a(b(a(b(a(b(y1)))))))) F(c(d(z0)), b(a(b(a(a(y1)))))) -> c2(F(d(z0), a(b(a(b(a(a(y1)))))))) F(c(d(z0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(a(y1))))))))) F(c(d(z0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(a(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(a(y1)))))) -> c2(F(d(z0), a(b(a(b(b(a(y1)))))))) F(c(d(z0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(b(y1))))))))) F(c(d(z0)), b(a(b(b(b(y1)))))) -> c2(F(d(z0), a(b(a(b(b(b(y1)))))))) F(c(d(z0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(y1))))))))) F(c(d(z0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(b(y1))) -> c2(F(d(c(d(y0))), a(b(b(y1))))) F(c(d(c(d(y0)))), b(a(y1))) -> c2(F(d(c(d(y0))), a(b(a(y1))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(d(z0)), b(b(b(b(a(y1)))))) -> c2(F(d(z0), a(b(b(b(b(a(y1)))))))) F(c(d(z0)), b(b(b(b(a(b(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(b(y1))))))))) F(c(d(z0)), b(b(b(b(b(y1)))))) -> c2(F(d(z0), a(b(b(b(b(b(y1)))))))) F(c(d(z0)), b(b(b(b(a(a(y1))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(y1))))))))) F(c(d(z0)), b(b(b(b(a(a(a(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(a(y1)))))))))) F(c(d(z0)), b(b(b(b(a(a(b(y1)))))))) -> c2(F(d(z0), a(b(b(b(b(a(a(b(y1)))))))))) F(c(d(c(y0))), b(b(b(y1)))) -> c2(F(d(c(y0)), a(b(b(b(y1)))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(c(c(d(d(c(y0))))), a(b(z1))) -> c2(F(c(d(d(c(y0)))), a(a(b(z1))))) F(c(c(d(d(d(y0))))), a(b(z1))) -> c2(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(c(c(c(y0)))), a(b(z1))) -> c2(F(c(c(c(y0))), a(a(b(z1))))) F(c(c(c(c(d(d(y0)))))), a(b(z1))) -> c2(F(c(c(c(d(d(y0))))), a(a(b(z1))))) F(c(c(c(c(d(c(d(y0))))))), a(b(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(a(b(z1))))) F(c(c(c(c(d(c(y0)))))), a(b(z1))) -> c2(F(c(c(c(d(c(y0))))), a(a(b(z1))))) F(c(c(c(d(d(c(d(y0))))))), a(b(z1))) -> c2(F(c(c(d(d(c(d(y0)))))), a(a(b(z1))))) F(c(c(c(d(d(c(y0)))))), a(b(z1))) -> c2(F(c(c(d(d(c(y0))))), a(a(b(z1))))) F(c(c(c(d(d(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(d(d(y0))))), a(a(b(z1))))) S tuples: F(d(c(d(z0))), a(x1)) -> c3(F(c(d(z0)), b(a(x1)))) F(d(c(d(z0))), a(b(x1))) -> c3(F(c(d(z0)), b(a(b(x1))))) F(d(c(d(z0))), a(a(x1))) -> c3(F(c(d(z0)), b(a(a(x1))))) F(d(c(d(z0))), a(a(a(x1)))) -> c3(F(c(d(z0)), b(a(a(a(x1)))))) F(d(c(d(z0))), a(a(b(x1)))) -> c3(F(c(d(z0)), b(a(a(b(x1)))))) F(d(c(d(z0))), b(a(x1))) -> c3(F(c(d(z0)), b(b(a(x1))))) F(d(c(d(z0))), b(a(b(x1)))) -> c3(F(c(d(z0)), b(b(a(b(x1)))))) F(d(c(d(z0))), b(a(a(x1)))) -> c3(F(c(d(z0)), b(b(a(a(x1)))))) F(d(c(d(z0))), b(a(a(a(x1))))) -> c3(F(c(d(z0)), b(b(a(a(a(x1))))))) F(d(c(d(z0))), b(a(a(b(x1))))) -> c3(F(c(d(z0)), b(b(a(a(b(x1))))))) F(d(c(z0)), a(b(x1))) -> c3(F(c(z0), b(a(b(x1))))) F(d(c(z0)), a(a(x1))) -> c3(F(c(z0), b(a(a(x1))))) F(d(c(z0)), a(a(a(x1)))) -> c3(F(c(z0), b(a(a(a(x1)))))) F(d(c(z0)), a(a(b(x1)))) -> c3(F(c(z0), b(a(a(b(x1)))))) F(d(c(z0)), b(a(x1))) -> c3(F(c(z0), b(b(a(x1))))) F(d(c(z0)), b(a(b(x1)))) -> c3(F(c(z0), b(b(a(b(x1)))))) F(d(c(z0)), b(a(a(x1)))) -> c3(F(c(z0), b(b(a(a(x1)))))) F(d(c(z0)), b(a(a(a(x1))))) -> c3(F(c(z0), b(b(a(a(a(x1))))))) F(d(c(z0)), b(a(a(b(x1))))) -> c3(F(c(z0), b(b(a(a(b(x1))))))) F(c(d(x0)), b(a(x1))) -> c2(F(d(x0), a(b(a(x1))))) F(c(d(x0)), b(a(b(x1)))) -> c2(F(d(x0), a(b(a(b(x1)))))) F(c(d(x0)), b(a(a(x1)))) -> c2(F(d(x0), a(b(a(a(x1)))))) F(c(d(x0)), b(a(a(a(x1))))) -> c2(F(d(x0), a(b(a(a(a(x1))))))) F(c(d(x0)), b(a(a(b(x1))))) -> c2(F(d(x0), a(b(a(a(b(x1))))))) F(c(d(x0)), b(b(a(x1)))) -> c2(F(d(x0), a(b(b(a(x1)))))) F(c(d(x0)), b(b(a(b(x1))))) -> c2(F(d(x0), a(b(b(a(b(x1))))))) F(c(d(x0)), b(b(b(x1)))) -> c2(F(d(x0), a(b(b(b(x1)))))) F(c(d(x0)), b(b(a(a(x1))))) -> c2(F(d(x0), a(b(b(a(a(x1))))))) F(c(d(x0)), b(b(a(a(a(x1)))))) -> c2(F(d(x0), a(b(b(a(a(a(x1)))))))) F(c(d(x0)), b(b(a(a(b(x1)))))) -> c2(F(d(x0), a(b(b(a(a(b(x1)))))))) F(c(x0), b(a(b(x1)))) -> c2(F(x0, a(b(a(b(x1)))))) F(c(x0), b(b(a(x1)))) -> c2(F(x0, a(b(b(a(x1)))))) F(c(x0), b(b(a(b(x1))))) -> c2(F(x0, a(b(b(a(b(x1))))))) F(c(x0), b(b(b(x1)))) -> c2(F(x0, a(b(b(b(x1)))))) F(c(x0), b(b(a(a(x1))))) -> c2(F(x0, a(b(b(a(a(x1))))))) F(c(x0), b(b(a(a(a(x1)))))) -> c2(F(x0, a(b(b(a(a(a(x1)))))))) F(c(x0), b(b(a(a(b(x1)))))) -> c2(F(x0, a(b(b(a(a(b(x1)))))))) F(c(d(d(y0))), b(y1)) -> c2(F(d(d(y0)), a(b(y1)))) F(c(d(c(d(y0)))), z1) -> c2(F(d(c(d(y0))), a(z1))) F(c(d(c(d(y0)))), b(y1)) -> c2(F(d(c(d(y0))), a(b(y1)))) F(c(d(c(d(y0)))), a(y1)) -> c2(F(d(c(d(y0))), a(a(y1)))) F(c(d(c(d(y0)))), a(a(y1))) -> c2(F(d(c(d(y0))), a(a(a(y1))))) F(c(d(c(d(y0)))), a(b(y1))) -> c2(F(d(c(d(y0))), a(a(b(y1))))) F(c(d(c(y0))), b(y1)) -> c2(F(d(c(y0)), a(b(y1)))) F(c(d(c(y0))), a(y1)) -> c2(F(d(c(y0)), a(a(y1)))) F(c(d(c(y0))), a(a(y1))) -> c2(F(d(c(y0)), a(a(a(y1))))) F(c(d(c(y0))), a(b(y1))) -> c2(F(d(c(y0)), a(a(b(y1))))) F(c(d(x0)), a(b(z1))) -> c1(F(c(d(c(d(x0)))), z1)) F(d(x0), a(b(a(b(x1))))) -> c1(F(c(d(d(x0))), a(b(x1)))) F(d(x0), a(b(b(a(x1))))) -> c1(F(c(d(d(x0))), b(a(x1)))) F(d(x0), a(b(b(a(b(x1)))))) -> c1(F(c(d(d(x0))), b(a(b(x1))))) F(d(x0), a(b(b(b(x1))))) -> c1(F(c(d(d(x0))), b(b(x1)))) F(d(x0), a(b(b(a(a(x1)))))) -> c1(F(c(d(d(x0))), b(a(a(x1))))) F(d(x0), a(b(b(a(a(a(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(a(x1)))))) F(d(x0), a(b(b(a(a(b(x1))))))) -> c1(F(c(d(d(x0))), b(a(a(b(x1)))))) F(x0, a(b(a(b(x1))))) -> c1(F(c(d(x0)), a(b(x1)))) F(x0, a(b(b(a(x1))))) -> c1(F(c(d(x0)), b(a(x1)))) F(x0, a(b(b(a(b(x1)))))) -> c1(F(c(d(x0)), b(a(b(x1))))) F(x0, a(b(b(b(x1))))) -> c1(F(c(d(x0)), b(b(x1)))) F(x0, a(b(b(a(a(x1)))))) -> c1(F(c(d(x0)), b(a(a(x1))))) F(x0, a(b(b(a(a(a(x1))))))) -> c1(F(c(d(x0)), b(a(a(a(x1)))))) F(x0, a(b(b(a(a(b(x1))))))) -> c1(F(c(d(x0)), b(a(a(b(x1)))))) F(d(d(x0)), a(b(z1))) -> c1(F(c(d(d(d(x0)))), z1)) F(d(c(d(x0))), a(b(z1))) -> c1(F(c(d(d(c(d(x0))))), z1)) F(d(c(x0)), a(b(z1))) -> c1(F(c(d(d(c(x0)))), z1)) F(c(c(d(c(d(y0))))), a(a(z1))) -> c2(F(c(d(c(d(y0)))), a(a(a(z1))))) F(c(c(d(c(y0)))), a(a(z1))) -> c2(F(c(d(c(y0))), a(a(a(z1))))) F(c(c(d(c(d(y0))))), a(b(z1))) -> c2(F(c(d(c(d(y0)))), a(a(b(z1))))) F(c(c(d(c(y0)))), a(b(z1))) -> c2(F(c(d(c(y0))), a(a(b(z1))))) F(c(c(c(d(d(y0))))), a(b(z1))) -> c2(F(c(c(d(d(y0)))), a(a(b(z1))))) F(c(c(c(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(b(z1))))) F(c(c(c(d(c(y0))))), a(b(z1))) -> c2(F(c(c(d(c(y0)))), a(a(b(z1))))) F(d(d(z0)), b(a(x1))) -> c3(F(d(z0), b(b(a(x1))))) F(d(d(z0)), b(a(b(x1)))) -> c3(F(d(z0), b(b(a(b(x1)))))) F(d(d(z0)), b(b(x1))) -> c3(F(d(z0), b(b(b(x1))))) F(d(d(z0)), b(a(a(x1)))) -> c3(F(d(z0), b(b(a(a(x1)))))) F(d(d(z0)), b(a(a(a(x1))))) -> c3(F(d(z0), b(b(a(a(a(x1))))))) F(d(d(z0)), b(a(a(b(x1))))) -> c3(F(d(z0), b(b(a(a(b(x1))))))) F(d(c(d(z0))), b(b(a(x1)))) -> c3(F(c(d(z0)), b(b(b(a(x1)))))) F(d(c(d(z0))), b(b(a(b(x1))))) -> c3(F(c(d(z0)), b(b(b(a(b(x1))))))) F(d(c(d(z0))), b(b(b(x1)))) -> c3(F(c(d(z0)), b(b(b(b(x1)))))) F(d(c(d(z0))), b(b(a(a(x1))))) -> c3(F(c(d(z0)), b(b(b(a(a(x1))))))) F(d(c(d(z0))), b(b(a(a(a(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(a(x1)))))))) F(d(c(d(z0))), b(b(a(a(b(x1)))))) -> c3(F(c(d(z0)), b(b(b(a(a(b(x1)))))))) F(d(c(z0)), b(b(a(x1)))) -> c3(F(c(z0), b(b(b(a(x1)))))) F(d(c(z0)), b(b(a(b(x1))))) -> c3(F(c(z0), b(b(b(a(b(x1))))))) F(d(c(z0)), b(b(b(x1)))) -> c3(F(c(z0), b(b(b(b(x1)))))) F(d(c(z0)), b(b(a(a(x1))))) -> c3(F(c(z0), b(b(b(a(a(x1))))))) F(d(c(z0)), b(b(a(a(a(x1)))))) -> c3(F(c(z0), b(b(b(a(a(a(x1)))))))) F(d(c(z0)), b(b(a(a(b(x1)))))) -> c3(F(c(z0), b(b(b(a(a(b(x1)))))))) F(d(d(c(d(y0)))), a(z1)) -> c3(F(d(c(d(y0))), b(a(z1)))) F(d(d(c(d(y0)))), a(b(y1))) -> c3(F(d(c(d(y0))), b(a(b(y1))))) F(d(d(c(d(y0)))), a(a(y1))) -> c3(F(d(c(d(y0))), b(a(a(y1))))) F(d(d(c(d(y0)))), a(a(a(y1)))) -> c3(F(d(c(d(y0))), b(a(a(a(y1)))))) F(d(d(c(d(y0)))), a(a(b(y1)))) -> c3(F(d(c(d(y0))), b(a(a(b(y1)))))) F(d(d(c(y0))), a(z1)) -> c3(F(d(c(y0)), b(a(z1)))) F(d(d(c(y0))), a(b(y1))) -> c3(F(d(c(y0)), b(a(b(y1))))) F(d(d(c(y0))), a(a(y1))) -> c3(F(d(c(y0)), b(a(a(y1))))) F(d(d(c(y0))), a(a(a(y1)))) -> c3(F(d(c(y0)), b(a(a(a(y1)))))) F(d(d(c(y0))), a(a(b(y1)))) -> c3(F(d(c(y0)), b(a(a(b(y1)))))) F(d(d(d(y0))), a(z1)) -> c3(F(d(d(y0)), b(a(z1)))) F(d(d(d(y0))), a(b(y1))) -> c3(F(d(d(y0)), b(a(b(y1))))) F(d(d(d(y0))), a(a(y1))) -> c3(F(d(d(y0)), b(a(a(y1))))) F(d(d(d(y0))), a(a(a(y1)))) -> c3(F(d(d(y0)), b(a(a(a(y1)))))) F(d(d(d(y0))), a(a(b(y1)))) -> c3(F(d(d(y0)), b(a(a(b(y1)))))) F(c(d(d(z0))), b(a(y1))) -> c2(F(d(d(z0)), a(b(a(y1))))) F(c(d(d(z0))), b(a(b(y1)))) -> c2(F(d(d(z0)), a(b(a(b(y1)))))) F(c(d(d(z0))), b(a(a(y1)))) -> c2(F(d(d(z0)), a(b(a(a(y1)))))) F(c(d(d(z0))), b(a(a(a(y1))))) -> c2(F(d(d(z0)), a(b(a(a(a(y1))))))) F(c(d(d(z0))), b(a(a(b(y1))))) -> c2(F(d(d(z0)), a(b(a(a(b(y1))))))) F(c(d(d(z0))), b(b(a(y1)))) -> c2(F(d(d(z0)), a(b(b(a(y1)))))) F(c(d(d(z0))), b(b(a(b(y1))))) -> c2(F(d(d(z0)), a(b(b(a(b(y1))))))) F(c(d(d(z0))), b(b(b(y1)))) -> c2(F(d(d(z0)), a(b(b(b(y1)))))) F(c(d(d(z0))), b(b(a(a(y1))))) -> c2(F(d(d(z0)), a(b(b(a(a(y1))))))) F(c(d(d(z0))), b(b(a(a(a(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(a(y1)))))))) F(c(d(d(z0))), b(b(a(a(b(y1)))))) -> c2(F(d(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(d(d(c(d(y0))))), z1) -> c2(F(d(d(c(d(y0)))), a(z1))) F(c(d(d(c(d(y0))))), b(y1)) -> c2(F(d(d(c(d(y0)))), a(b(y1)))) F(c(d(d(c(d(y0))))), a(y1)) -> c2(F(d(d(c(d(y0)))), a(a(y1)))) F(c(d(d(c(d(y0))))), a(a(y1))) -> c2(F(d(d(c(d(y0)))), a(a(a(y1))))) F(c(d(d(c(d(y0))))), a(b(y1))) -> c2(F(d(d(c(d(y0)))), a(a(b(y1))))) F(c(d(d(c(y0)))), z1) -> c2(F(d(d(c(y0))), a(z1))) F(c(d(d(c(y0)))), b(y1)) -> c2(F(d(d(c(y0))), a(b(y1)))) F(c(d(d(c(y0)))), a(y1)) -> c2(F(d(d(c(y0))), a(a(y1)))) F(c(d(d(c(y0)))), a(a(y1))) -> c2(F(d(d(c(y0))), a(a(a(y1))))) F(c(d(d(c(y0)))), a(b(y1))) -> c2(F(d(d(c(y0))), a(a(b(y1))))) F(c(d(d(d(y0)))), z1) -> c2(F(d(d(d(y0))), a(z1))) F(c(d(d(d(y0)))), b(y1)) -> c2(F(d(d(d(y0))), a(b(y1)))) F(c(d(d(d(y0)))), a(y1)) -> c2(F(d(d(d(y0))), a(a(y1)))) F(c(d(d(d(y0)))), a(a(y1))) -> c2(F(d(d(d(y0))), a(a(a(y1))))) F(c(d(d(d(y0)))), a(b(y1))) -> c2(F(d(d(d(y0))), a(a(b(y1))))) F(c(d(d(x0))), b(b(x1))) -> c2(F(d(d(x0)), a(b(b(x1))))) F(c(d(x0)), b(b(x1))) -> c2(F(d(x0), a(b(b(x1))))) F(c(d(x0)), b(b(b(a(x1))))) -> c2(F(d(x0), a(b(b(b(a(x1))))))) F(c(d(x0)), b(b(b(a(b(x1)))))) -> c2(F(d(x0), a(b(b(b(a(b(x1)))))))) F(c(d(x0)), b(b(b(b(x1))))) -> c2(F(d(x0), a(b(b(b(b(x1))))))) F(c(d(x0)), b(b(b(a(a(x1)))))) -> c2(F(d(x0), a(b(b(b(a(a(x1)))))))) F(c(d(x0)), b(b(b(a(a(a(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(a(x1))))))))) F(c(d(x0)), b(b(b(a(a(b(x1))))))) -> c2(F(d(x0), a(b(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), b(a(x1))) -> c2(F(d(c(z0)), a(b(a(x1))))) F(c(d(c(z0))), b(a(b(x1)))) -> c2(F(d(c(z0)), a(b(a(b(x1)))))) F(c(d(c(z0))), b(a(a(x1)))) -> c2(F(d(c(z0)), a(b(a(a(x1)))))) F(c(d(c(z0))), b(a(a(a(x1))))) -> c2(F(d(c(z0)), a(b(a(a(a(x1))))))) F(c(d(c(z0))), b(a(a(b(x1))))) -> c2(F(d(c(z0)), a(b(a(a(b(x1))))))) F(c(d(c(z0))), b(b(a(x1)))) -> c2(F(d(c(z0)), a(b(b(a(x1)))))) F(c(d(c(z0))), b(b(a(b(x1))))) -> c2(F(d(c(z0)), a(b(b(a(b(x1))))))) F(c(d(c(z0))), b(b(a(a(x1))))) -> c2(F(d(c(z0)), a(b(b(a(a(x1))))))) F(c(d(c(z0))), b(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(a(x1)))))))) F(c(d(c(z0))), b(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(a(x1)))) -> c2(F(d(c(z0)), a(a(b(a(x1)))))) F(c(d(c(z0))), a(b(a(b(x1))))) -> c2(F(d(c(z0)), a(a(b(a(b(x1))))))) F(c(d(c(z0))), a(b(a(a(x1))))) -> c2(F(d(c(z0)), a(a(b(a(a(x1))))))) F(c(d(c(z0))), a(b(a(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(a(x1)))))))) F(c(d(c(z0))), a(b(a(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(a(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(a(x1))))) -> c2(F(d(c(z0)), a(a(b(b(a(x1))))))) F(c(d(c(z0))), a(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(b(x1)))))))) F(c(d(c(z0))), a(b(b(b(x1))))) -> c2(F(d(c(z0)), a(a(b(b(b(x1))))))) F(c(d(c(z0))), a(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(x1)))))))) F(c(d(c(z0))), a(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), a(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(a(b(b(a(a(b(x1))))))))) F(c(d(c(z0))), a(a(a(x1)))) -> c2(F(d(c(z0)), a(a(a(a(x1)))))) F(c(d(c(z0))), a(a(b(x1)))) -> c2(F(d(c(z0)), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(x1))) -> c2(F(d(c(z0)), a(b(b(x1))))) F(c(d(c(d(x0)))), a(a(a(x1)))) -> c2(F(d(c(d(x0))), a(a(a(a(x1)))))) F(c(d(c(d(x0)))), a(a(b(x1)))) -> c2(F(d(c(d(x0))), a(a(a(b(x1)))))) F(c(d(c(z0))), b(b(b(a(x1))))) -> c2(F(d(c(z0)), a(b(b(b(a(x1))))))) F(c(d(c(z0))), b(b(b(a(b(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(b(x1)))))))) F(c(d(c(z0))), b(b(b(b(x1))))) -> c2(F(d(c(z0)), a(b(b(b(b(x1))))))) F(c(d(c(z0))), b(b(b(a(a(x1)))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(x1)))))))) F(c(d(c(z0))), b(b(b(a(a(a(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(a(x1))))))))) F(c(d(c(z0))), b(b(b(a(a(b(x1))))))) -> c2(F(d(c(z0)), a(b(b(b(a(a(b(x1))))))))) F(d(z0), a(b(b(y1)))) -> c1(F(c(d(d(z0))), b(y1))) F(d(z0), a(b(b(b(a(y1)))))) -> c1(F(c(d(d(z0))), b(b(a(y1))))) F(d(z0), a(b(b(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(b(y1)))))) F(d(z0), a(b(b(b(b(y1)))))) -> c1(F(c(d(d(z0))), b(b(b(y1))))) F(d(z0), a(b(b(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(a(a(y1)))))) F(d(z0), a(b(b(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(a(y1))))))) F(d(z0), a(b(b(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(a(y1)))))) -> c1(F(c(d(d(z0))), a(b(a(y1))))) F(d(z0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(b(y1)))))) F(d(z0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(a(a(y1)))))) F(d(z0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(a(y1))))))) F(d(z0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(a(b(y1))))))) F(d(z0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(a(y1)))))) F(d(z0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(b(y1))))))) F(d(z0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), a(b(b(b(y1)))))) F(d(z0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(y1))))))) F(d(z0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(a(y1)))))))) F(d(z0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(b(a(a(b(y1)))))))) F(d(c(d(y0))), a(b(b(y1)))) -> c1(F(c(d(d(c(d(y0))))), b(y1))) F(d(c(d(y0))), a(b(a(y1)))) -> c1(F(c(d(d(c(d(y0))))), a(y1))) F(d(c(d(y0))), a(b(a(a(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(a(y1)))) F(d(c(d(y0))), a(b(a(b(y1))))) -> c1(F(c(d(d(c(d(y0))))), a(b(y1)))) F(d(c(y0)), a(b(b(y1)))) -> c1(F(c(d(d(c(y0)))), b(y1))) F(d(c(y0)), a(b(a(y1)))) -> c1(F(c(d(d(c(y0)))), a(y1))) F(d(c(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(c(y0)))), a(a(y1)))) F(d(c(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(c(y0)))), a(b(y1)))) F(d(d(y0)), a(b(b(y1)))) -> c1(F(c(d(d(d(y0)))), b(y1))) F(d(d(y0)), a(b(a(y1)))) -> c1(F(c(d(d(d(y0)))), a(y1))) F(d(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(d(d(y0)))), a(a(y1)))) F(d(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(d(d(y0)))), a(b(y1)))) F(d(z0), a(b(b(b(b(a(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(a(y1)))))) F(d(z0), a(b(b(b(b(a(b(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(b(y1))))))) F(d(z0), a(b(b(b(b(b(y1))))))) -> c1(F(c(d(d(z0))), b(b(b(b(y1)))))) F(d(z0), a(b(b(b(b(a(a(y1)))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(y1))))))) F(d(z0), a(b(b(b(b(a(a(a(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(a(y1)))))))) F(d(z0), a(b(b(b(b(a(a(b(y1))))))))) -> c1(F(c(d(d(z0))), b(b(b(a(a(b(y1)))))))) F(d(c(z0)), a(b(a(x1)))) -> c3(F(c(z0), b(a(b(a(x1)))))) F(d(c(z0)), a(b(a(b(x1))))) -> c3(F(c(z0), b(a(b(a(b(x1))))))) F(d(c(z0)), a(b(a(a(x1))))) -> c3(F(c(z0), b(a(b(a(a(x1))))))) F(d(c(z0)), a(b(a(a(a(x1)))))) -> c3(F(c(z0), b(a(b(a(a(a(x1)))))))) F(d(c(z0)), a(b(a(a(b(x1)))))) -> c3(F(c(z0), b(a(b(a(a(b(x1)))))))) F(d(c(z0)), a(b(b(a(x1))))) -> c3(F(c(z0), b(a(b(b(a(x1))))))) F(d(c(z0)), a(b(b(a(b(x1)))))) -> c3(F(c(z0), b(a(b(b(a(b(x1)))))))) F(d(c(z0)), a(b(b(b(x1))))) -> c3(F(c(z0), b(a(b(b(b(x1))))))) F(d(c(z0)), a(b(b(a(a(x1)))))) -> c3(F(c(z0), b(a(b(b(a(a(x1)))))))) F(d(c(z0)), a(b(b(a(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(a(x1))))))))) F(d(c(z0)), a(b(b(a(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(a(a(b(x1))))))))) F(d(c(z0)), a(b(b(x1)))) -> c3(F(c(z0), b(a(b(b(x1)))))) F(d(c(z0)), a(b(b(b(a(x1)))))) -> c3(F(c(z0), b(a(b(b(b(a(x1)))))))) F(d(c(z0)), a(b(b(b(a(b(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(b(x1))))))))) F(d(c(z0)), a(b(b(b(b(x1)))))) -> c3(F(c(z0), b(a(b(b(b(b(x1)))))))) F(d(c(z0)), a(b(b(b(a(a(x1))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(x1))))))))) F(d(c(z0)), a(b(b(b(a(a(a(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(a(x1)))))))))) F(d(c(z0)), a(b(b(b(a(a(b(x1)))))))) -> c3(F(c(z0), b(a(b(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(b(a(x1))))) -> c3(F(c(x0), b(a(a(b(a(x1))))))) F(d(c(x0)), a(a(b(a(b(x1)))))) -> c3(F(c(x0), b(a(a(b(a(b(x1)))))))) F(d(c(x0)), a(a(b(a(a(x1)))))) -> c3(F(c(x0), b(a(a(b(a(a(x1)))))))) F(d(c(x0)), a(a(b(a(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(a(x1))))))))) F(d(c(x0)), a(a(b(a(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(a(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(a(x1)))))) -> c3(F(c(x0), b(a(a(b(b(a(x1)))))))) F(d(c(x0)), a(a(b(b(a(b(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(b(x1))))))))) F(d(c(x0)), a(a(b(b(b(x1)))))) -> c3(F(c(x0), b(a(a(b(b(b(x1)))))))) F(d(c(x0)), a(a(b(b(a(a(x1))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(x1))))))))) F(d(c(x0)), a(a(b(b(a(a(a(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(a(x1)))))))))) F(d(c(x0)), a(a(b(b(a(a(b(x1)))))))) -> c3(F(c(x0), b(a(a(b(b(a(a(b(x1)))))))))) F(d(c(x0)), a(a(a(a(x1))))) -> c3(F(c(x0), b(a(a(a(a(x1))))))) F(d(c(x0)), a(a(a(b(x1))))) -> c3(F(c(x0), b(a(a(a(b(x1))))))) F(d(c(d(x0))), a(a(a(a(x1))))) -> c3(F(c(d(x0)), b(a(a(a(a(x1))))))) F(d(c(d(x0))), a(a(a(b(x1))))) -> c3(F(c(d(x0)), b(a(a(a(b(x1))))))) F(c(d(y0)), a(b(a(z1)))) -> c1(F(c(d(c(d(y0)))), a(z1))) F(c(d(y0)), a(b(a(a(y1))))) -> c1(F(c(d(c(d(y0)))), a(a(y1)))) F(c(d(y0)), a(b(a(b(y1))))) -> c1(F(c(d(c(d(y0)))), a(b(y1)))) F(c(y0), a(b(a(z1)))) -> c1(F(c(d(c(y0))), a(z1))) F(c(y0), a(b(a(a(y1))))) -> c1(F(c(d(c(y0))), a(a(y1)))) F(c(y0), a(b(a(b(y1))))) -> c1(F(c(d(c(y0))), a(b(y1)))) F(z0, a(b(a(b(a(y1)))))) -> c1(F(c(d(z0)), a(b(a(y1))))) F(z0, a(b(a(b(a(b(y1))))))) -> c1(F(c(d(z0)), a(b(a(b(y1)))))) F(z0, a(b(a(b(a(a(y1))))))) -> c1(F(c(d(z0)), a(b(a(a(y1)))))) F(z0, a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(a(y1))))))) F(z0, a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(a(a(b(y1))))))) F(z0, a(b(a(b(b(a(y1))))))) -> c1(F(c(d(z0)), a(b(b(a(y1)))))) F(z0, a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(b(y1))))))) F(z0, a(b(a(b(b(b(y1))))))) -> c1(F(c(d(z0)), a(b(b(b(y1)))))) F(z0, a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(z0)), a(b(b(a(a(y1))))))) F(z0, a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(a(y1)))))))) F(z0, a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(z0)), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(b(a(y1)))))) -> c1(F(c(d(c(y0))), a(b(a(y1))))) F(c(y0), a(b(a(b(a(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(y0), a(b(a(b(a(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(y0), a(b(a(b(a(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(y0), a(b(a(b(a(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(y0), a(b(a(b(b(a(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(a(y1)))))) F(c(y0), a(b(a(b(b(a(b(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(b(y1))))))) F(c(y0), a(b(a(b(b(b(y1))))))) -> c1(F(c(d(c(y0))), a(b(b(b(y1)))))) F(c(y0), a(b(a(b(b(a(a(y1)))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(y1))))))) F(c(y0), a(b(a(b(b(a(a(a(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(a(y1)))))))) F(c(y0), a(b(a(b(b(a(a(b(y1))))))))) -> c1(F(c(d(c(y0))), a(b(b(a(a(b(y1)))))))) F(c(y0), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(y0))), a(a(a(y1))))) F(c(y0), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(y0))), a(a(b(y1))))) F(c(d(y0)), a(b(a(a(a(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(a(y1))))) F(c(d(y0)), a(b(a(a(b(y1)))))) -> c1(F(c(d(c(d(y0)))), a(a(b(y1))))) F(c(d(c(d(y0)))), b(a(z1))) -> c2(F(d(c(d(y0))), a(b(a(z1))))) F(c(c(d(c(d(y0))))), b(a(z1))) -> c2(F(c(d(c(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(z1))) -> c2(F(c(d(c(y0))), a(b(a(z1))))) F(c(c(d(y0))), b(a(z1))) -> c2(F(c(d(y0)), a(b(a(z1))))) F(c(c(d(d(y0)))), b(a(z1))) -> c2(F(c(d(d(y0))), a(b(a(z1))))) F(c(c(c(d(d(y0))))), b(a(z1))) -> c2(F(c(c(d(d(y0)))), a(b(a(z1))))) F(c(c(c(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(z1))))) F(c(c(c(d(c(y0))))), b(a(z1))) -> c2(F(c(c(d(c(y0)))), a(b(a(z1))))) F(c(c(c(c(y0)))), b(a(z1))) -> c2(F(c(c(c(y0))), a(b(a(z1))))) F(c(c(c(c(d(d(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(z1))))) F(c(c(c(c(d(c(d(y0))))))), b(a(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(z1))))) F(c(c(c(c(d(c(y0)))))), b(a(z1))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(z1))))) F(c(d(d(c(d(y0))))), b(a(z1))) -> c2(F(d(d(c(d(y0)))), a(b(a(z1))))) F(c(d(d(c(y0)))), b(a(z1))) -> c2(F(d(d(c(y0))), a(b(a(z1))))) F(c(d(d(d(y0)))), b(a(z1))) -> c2(F(d(d(d(y0))), a(b(a(z1))))) F(c(c(d(d(c(d(y0)))))), b(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(z1))))) F(c(c(d(d(c(y0))))), b(a(z1))) -> c2(F(c(d(d(c(y0)))), a(b(a(z1))))) F(c(c(d(d(d(y0))))), b(a(z1))) -> c2(F(c(d(d(d(y0)))), a(b(a(z1))))) F(c(c(d(c(y0)))), b(a(b(y1)))) -> c2(F(c(d(c(y0))), a(b(a(b(y1)))))) F(c(c(d(c(y0)))), b(a(a(y1)))) -> c2(F(c(d(c(y0))), a(b(a(a(y1)))))) F(c(c(d(c(y0)))), b(a(a(a(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(a(y1))))))) F(c(c(d(c(y0)))), b(a(a(b(y1))))) -> c2(F(c(d(c(y0))), a(b(a(a(b(y1))))))) F(c(d(y0)), b(a(b(a(y1))))) -> c2(F(d(y0), a(b(a(b(a(y1))))))) F(c(d(y0)), b(a(b(a(b(y1)))))) -> c2(F(d(y0), a(b(a(b(a(b(y1)))))))) F(c(d(y0)), b(a(b(a(a(y1)))))) -> c2(F(d(y0), a(b(a(b(a(a(y1)))))))) F(c(d(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(a(y1))))))))) F(c(d(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(a(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(a(y1)))))) -> c2(F(d(y0), a(b(a(b(b(a(y1)))))))) F(c(d(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(b(y1))))))))) F(c(d(y0)), b(a(b(b(b(y1)))))) -> c2(F(d(y0), a(b(a(b(b(b(y1)))))))) F(c(d(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(y1))))))))) F(c(d(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(d(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(d(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(d(c(d(y0)))), b(a(a(y1)))) -> c2(F(d(c(d(y0))), a(b(a(a(y1)))))) F(c(d(c(d(y0)))), b(a(b(y1)))) -> c2(F(d(c(d(y0))), a(b(a(b(y1)))))) F(c(c(d(y0))), b(a(a(y1)))) -> c2(F(c(d(y0)), a(b(a(a(y1)))))) F(c(c(d(y0))), b(a(b(y1)))) -> c2(F(c(d(y0)), a(b(a(b(y1)))))) F(c(c(y0)), b(a(z1))) -> c2(F(c(y0), a(b(a(z1))))) F(c(c(y0)), b(a(a(y1)))) -> c2(F(c(y0), a(b(a(a(y1)))))) F(c(c(y0)), b(a(b(y1)))) -> c2(F(c(y0), a(b(a(b(y1)))))) F(c(z0), b(a(b(a(y1))))) -> c2(F(z0, a(b(a(b(a(y1))))))) F(c(z0), b(a(b(a(b(y1)))))) -> c2(F(z0, a(b(a(b(a(b(y1)))))))) F(c(z0), b(a(b(a(a(y1)))))) -> c2(F(z0, a(b(a(b(a(a(y1)))))))) F(c(z0), b(a(b(a(a(a(y1))))))) -> c2(F(z0, a(b(a(b(a(a(a(y1))))))))) F(c(z0), b(a(b(a(a(b(y1))))))) -> c2(F(z0, a(b(a(b(a(a(b(y1))))))))) F(c(z0), b(a(b(b(a(y1)))))) -> c2(F(z0, a(b(a(b(b(a(y1)))))))) F(c(z0), b(a(b(b(a(b(y1))))))) -> c2(F(z0, a(b(a(b(b(a(b(y1))))))))) F(c(z0), b(a(b(b(b(y1)))))) -> c2(F(z0, a(b(a(b(b(b(y1)))))))) F(c(z0), b(a(b(b(a(a(y1))))))) -> c2(F(z0, a(b(a(b(b(a(a(y1))))))))) F(c(z0), b(a(b(b(a(a(a(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(a(y1)))))))))) F(c(z0), b(a(b(b(a(a(b(y1)))))))) -> c2(F(z0, a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(b(a(y1))))) -> c2(F(c(y0), a(b(a(b(a(y1))))))) F(c(c(y0)), b(a(b(a(b(y1)))))) -> c2(F(c(y0), a(b(a(b(a(b(y1)))))))) F(c(c(y0)), b(a(b(a(a(y1)))))) -> c2(F(c(y0), a(b(a(b(a(a(y1)))))))) F(c(c(y0)), b(a(b(a(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(a(y1))))))))) F(c(c(y0)), b(a(b(a(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(a(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(a(y1)))))) -> c2(F(c(y0), a(b(a(b(b(a(y1)))))))) F(c(c(y0)), b(a(b(b(a(b(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(b(y1))))))))) F(c(c(y0)), b(a(b(b(b(y1)))))) -> c2(F(c(y0), a(b(a(b(b(b(y1)))))))) F(c(c(y0)), b(a(b(b(a(a(y1))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(y1))))))))) F(c(c(y0)), b(a(b(b(a(a(a(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(a(y1)))))))))) F(c(c(y0)), b(a(b(b(a(a(b(y1)))))))) -> c2(F(c(y0), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(y0)), b(a(a(a(y1))))) -> c2(F(c(y0), a(b(a(a(a(y1))))))) F(c(c(y0)), b(a(a(b(y1))))) -> c2(F(c(y0), a(b(a(a(b(y1))))))) F(c(c(d(y0))), b(a(a(a(y1))))) -> c2(F(c(d(y0)), a(b(a(a(a(y1))))))) F(c(c(d(y0))), b(a(a(b(y1))))) -> c2(F(c(d(y0)), a(b(a(a(b(y1))))))) F(c(c(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(y0)))), b(a(a(z1)))) -> c2(F(c(d(d(y0))), a(b(a(a(z1)))))) F(c(c(c(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(z1)))))) F(c(c(c(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(c(c(y0)))), b(a(a(z1)))) -> c2(F(c(c(c(y0))), a(b(a(a(z1)))))) F(c(c(c(c(d(d(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(z1)))))) F(c(c(c(c(d(c(y0)))))), b(a(a(z1)))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(z1)))))) F(c(d(d(c(d(y0))))), b(a(a(z1)))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(z1)))))) F(c(d(d(c(y0)))), b(a(a(z1)))) -> c2(F(d(d(c(y0))), a(b(a(a(z1)))))) F(c(d(d(d(y0)))), b(a(a(z1)))) -> c2(F(d(d(d(y0))), a(b(a(a(z1)))))) F(c(c(d(d(c(d(y0)))))), b(a(a(z1)))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(z1)))))) F(c(c(d(d(c(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(z1)))))) F(c(c(d(d(d(y0))))), b(a(a(z1)))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(z1)))))) F(d(c(d(y0))), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(d(c(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(a(z1))))) F(d(d(y0)), a(b(a(a(a(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(d(c(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(c(c(y0)))), b(a(a(a(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(a(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(a(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(a(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(a(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(a(z1))))))) F(c(d(d(c(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(a(z1))))))) F(c(d(d(d(y0)))), b(a(a(a(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(a(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(a(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(a(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(a(z1))))))) F(d(c(d(y0))), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(d(c(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(c(y0)))), a(a(b(z1))))) F(d(d(y0)), a(b(a(a(b(z1)))))) -> c1(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(d(c(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(c(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(c(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(c(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(d(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(c(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(c(c(y0)))), b(a(a(b(z1))))) -> c2(F(c(c(c(y0))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(d(y0))))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(d(y0)))))), a(b(a(a(b(z1))))))) F(c(c(c(c(d(c(y0)))))), b(a(a(b(z1))))) -> c2(F(c(c(c(d(c(y0))))), a(b(a(a(b(z1))))))) F(c(d(d(c(d(y0))))), b(a(a(b(z1))))) -> c2(F(d(d(c(d(y0)))), a(b(a(a(b(z1))))))) F(c(d(d(c(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(c(y0))), a(b(a(a(b(z1))))))) F(c(d(d(d(y0)))), b(a(a(b(z1))))) -> c2(F(d(d(d(y0))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(d(y0)))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(d(y0))))), a(b(a(a(b(z1))))))) F(c(c(d(d(c(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(c(y0)))), a(b(a(a(b(z1))))))) F(c(c(d(d(d(y0))))), b(a(a(b(z1))))) -> c2(F(c(d(d(d(y0)))), a(b(a(a(b(z1))))))) F(d(z0), a(b(a(b(a(b(a(y1)))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(y1))))))) F(d(z0), a(b(a(b(a(b(a(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(b(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(y1)))))))) F(d(z0), a(b(a(b(a(b(a(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(a(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(a(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(b(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(b(y1))))))))) F(d(z0), a(b(a(b(a(b(b(b(y1))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(b(y1)))))))) F(d(z0), a(b(a(b(a(b(b(a(a(y1)))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(y1))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(a(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(a(y1)))))))))) F(d(z0), a(b(a(b(a(b(b(a(a(b(y1))))))))))) -> c1(F(c(d(d(z0))), a(b(a(b(b(a(a(b(y1)))))))))) F(c(c(c(y0))), a(a(z1))) -> c2(F(c(c(y0)), a(a(a(z1))))) F(c(c(c(d(d(y0))))), a(a(z1))) -> c2(F(c(c(d(d(y0)))), a(a(a(z1))))) F(c(c(c(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(c(d(c(d(y0))))), a(a(a(z1))))) F(c(c(c(d(c(y0))))), a(a(z1))) -> c2(F(c(c(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(a(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(a(z1))))) F(c(c(d(d(c(y0))))), a(a(z1))) -> c2(F(c(d(d(c(y0)))), a(a(a(z1))))) F(c(c(d(d(d(y0))))), a(a(z1))) -> c2(F(c(d(d(d(y0)))), a(a(a(z1))))) F(c(c(d(d(c(d(y0)))))), a(b(z1))) -> c2(F(c(d(d(c(d(y0))))), a(a(b(z1))))) F(c(c(d(d(c(y0))))), a(b(z1))) -> c2(F(c(d(d(c(y0)))), a(a(b(z1))))) F(c(c(d(d(d(y0))))), a(b(z1))) -> c2(F(c(d(d(d(y0)))), a(a(b(z1))))) F(c(c(c(c(y0)))), a(b(z1))) -> c2(F(c(c(c(y0))), a(a(b(z1))))) F(c(c(c(c(d(d(y0)))))), a(b(z1))) -> c2(F(c(c(c(d(d(y0))))), a(a(b(z1))))) F(c(c(c(c(d(c(d(y0))))))), a(b(z1))) -> c2(F(c(c(c(d(c(d(y0)))))), a(a(b(z1))))) F(c(c(c(c(d(c(y0)))))), a(b(z1))) -> c2(F(c(c(c(d(c(y0))))), a(a(b(z1))))) F(c(c(c(d(d(c(d(y0))))))), a(b(z1))) -> c2(F(c(c(d(d(c(d(y0)))))), a(a(b(z1))))) F(c(c(c(d(d(c(y0)))))), a(b(z1))) -> c2(F(c(c(d(d(c(y0))))), a(a(b(z1))))) F(c(c(c(d(d(d(y0)))))), a(b(z1))) -> c2(F(c(c(d(d(d(y0))))), a(a(b(z1))))) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_2 Compound Symbols: c3_1, c2_1, c1_1 ---------------------------------------- (155) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (156) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) [1] f(c(x), y) -> f(x, a(y)) [1] f(d(x), y) -> f(x, b(y)) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (157) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (158) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) [1] f(c(x), y) -> f(x, a(y)) [1] f(d(x), y) -> f(x, b(y)) [1] The TRS has the following type information: f :: d:c -> b:a -> f a :: b:a -> b:a b :: b:a -> b:a c :: d:c -> d:c d :: d:c -> d:c Rewrite Strategy: INNERMOST ---------------------------------------- (159) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: f_2 (c) The following functions are completely defined: none Due to the following rules being added: none And the following fresh constants: const, const1, const2 ---------------------------------------- (160) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) [1] f(c(x), y) -> f(x, a(y)) [1] f(d(x), y) -> f(x, b(y)) [1] The TRS has the following type information: f :: d:c -> b:a -> f a :: b:a -> b:a b :: b:a -> b:a c :: d:c -> d:c d :: d:c -> d:c const :: f const1 :: d:c const2 :: b:a Rewrite Strategy: INNERMOST ---------------------------------------- (161) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (162) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) [1] f(c(x), y) -> f(x, a(y)) [1] f(d(x), y) -> f(x, b(y)) [1] The TRS has the following type information: f :: d:c -> b:a -> f a :: b:a -> b:a b :: b:a -> b:a c :: d:c -> d:c d :: d:c -> d:c const :: f const1 :: d:c const2 :: b:a Rewrite Strategy: INNERMOST ---------------------------------------- (163) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: const => 0 const1 => 0 const2 => 0 ---------------------------------------- (164) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(x, 1 + y) :|: x >= 0, y >= 0, z = 1 + x, z' = y f(z, z') -{ 1 }-> f(1 + (1 + x), y) :|: z' = 1 + (1 + y), x >= 0, y >= 0, z = x ---------------------------------------- (165) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (166) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(z - 1, 1 + z') :|: z - 1 >= 0, z' >= 0 f(z, z') -{ 1 }-> f(1 + (1 + z), z' - 2) :|: z >= 0, z' - 2 >= 0 ---------------------------------------- (167) CpxRntsAnalysisOrderProof (BOTH BOUNDS(ID, ID)) Found the following analysis order by SCC decomposition: { f } ---------------------------------------- (168) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(z - 1, 1 + z') :|: z - 1 >= 0, z' >= 0 f(z, z') -{ 1 }-> f(1 + (1 + z), z' - 2) :|: z >= 0, z' - 2 >= 0 Function symbols to be analyzed: {f} ---------------------------------------- (169) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (170) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(z - 1, 1 + z') :|: z - 1 >= 0, z' >= 0 f(z, z') -{ 1 }-> f(1 + (1 + z), z' - 2) :|: z >= 0, z' - 2 >= 0 Function symbols to be analyzed: {f} ---------------------------------------- (171) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using CoFloCo for: f after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 0 ---------------------------------------- (172) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(z - 1, 1 + z') :|: z - 1 >= 0, z' >= 0 f(z, z') -{ 1 }-> f(1 + (1 + z), z' - 2) :|: z >= 0, z' - 2 >= 0 Function symbols to be analyzed: {f} Previous analysis results are: f: runtime: ?, size: O(1) [0] ---------------------------------------- (173) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: f after applying outer abstraction to obtain an ITS, resulting in: INF with polynomial bound: ? ---------------------------------------- (174) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(z - 1, 1 + z') :|: z - 1 >= 0, z' >= 0 f(z, z') -{ 1 }-> f(1 + (1 + z), z' - 2) :|: z >= 0, z' - 2 >= 0 Function symbols to be analyzed: {f} Previous analysis results are: f: runtime: INF, size: O(1) [0] ---------------------------------------- (175) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: f(v0, v1) -> null_f [0] And the following fresh constants: null_f, const, const1 ---------------------------------------- (176) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: f(x, a(b(y))) -> f(c(d(x)), y) [1] f(c(x), y) -> f(x, a(y)) [1] f(d(x), y) -> f(x, b(y)) [1] f(v0, v1) -> null_f [0] The TRS has the following type information: f :: d:c -> b:a -> null_f a :: b:a -> b:a b :: b:a -> b:a c :: d:c -> d:c d :: d:c -> d:c null_f :: null_f const :: d:c const1 :: b:a Rewrite Strategy: INNERMOST ---------------------------------------- (177) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: null_f => 0 const => 0 const1 => 0 ---------------------------------------- (178) Obligation: Complexity RNTS consisting of the following rules: f(z, z') -{ 1 }-> f(x, 1 + y) :|: x >= 0, y >= 0, z = 1 + x, z' = y f(z, z') -{ 1 }-> f(1 + (1 + x), y) :|: z' = 1 + (1 + y), x >= 0, y >= 0, z = x f(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 Only complete derivations are relevant for the runtime complexity.